A new way of solving transient radiative-conductive heat transfer problems

Journal of Heat Transfer

Volumn 120, Issue 4, 1998, Pages 943-955

  Andre, S ^a   Degiovanni, A ^a  

^a NANCY UNIVERSITÉ   (France)

Author keywords

Radiation; Radiation interactions; Transient and Unsteady Heat Transfer

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; HEAT CONDUCTION; HEAT FLUX; INVERSE PROBLEMS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; ONE DIMENSIONAL; TRANSFER FUNCTIONS;

HEAT PULSE; KERNEL SUBSTITUTION TECHNIQUE; SEMITRANSPARENT LAYER; THERMAL EXCITATION;

HEAT RADIATION;

COOLING; ENERGY; HEAT TRANSFER; RADIATION;

EID: 0032216198     PISSN: 00221481     EISSN: 15288943     Source Type: Journal    
DOI: 10.1115/1.2825914     Document Type: Article

References (30)

1. Andre, S., and Degiovanni, A., 1995, “A Theoretical Study of the Transient Coupled Conduction and Radiation Heat Transfer in Glass. Phonic Diffusivity Measurements by the Flash Technique,” International Journal of Heat and Mass Transfer, Vol. 38, No. 18, pp. 3401-3412.
2. Banner, D., 1990, “Propriétés Radiatives des Verres et des fontes de Silicates. Modélisation des transferts de chaleur,” Thèse, Ecole Centrale de Paris.
3. Brewster, M. Q., and Tien, C. L„ 1982, “Examination of the Two-Flux Model for Radiative Transfer in Particular Systems,” International Journal of Heat and Mass Transfer, Vol. 25, No. 12, pp. 1905-1907.
4. Carrier, G. F., 1959, “Useful Approximations in Wiener-Hopf Problems,” Journal of Applied Physics, Vol. 30, No. 11, pp. 1769-1774.
5. Cess, R. D., 1966, “On the Differential Approximation in Radiative Transfer,” Zeitschrift für Angewandte Mathemathik und Physik, Vol. 17, pp. 776-781.
6. Cogley, J. C., Vincenti, W. G., and Gilles, S. E., 1968, “Differential Approximation for Radiative Transfer in a Nongrey Gas near Equilibrium,” AIAA Journal, Vol. 3, pp. 155-553.
7. Daniel, K. J., Laurendeau, N. M., and Incropera, F. P., 1979, “Prediction of Radiation Absorption and Scattering in Turbid Water Bodies,” ASME Journal of Heat Transfer, Vol. 101, pp. 63-67.
8. Da Silva, Z. E., 1997, “Transferts Couplés Conduction/Rayonnement. Application de la Méthode Flash aux Milieux Semi-transparents.” Thèse de Docteur de 3ème cycle, INSA Lyon.
9. Degiovanni, A., 1988, “Conduction dans un Mur Multicouche avec Sources: Extension de la Notion de Quadripole,” International Journal of Heat and Mass Transfer, Vol. 31, No. 3, pp. 553-557.
10. Deissler, R. G., 1964, “Diffusion Approximation for Thermal Radiation in Gases with Jump Boundary Condition,” ASME Journal of Heat Transfer, Vol. 86C, pp. 240-246.
11. Gilles, S. E., Cogley, J. C., and Vincenti, W. G., 1969, “A Substitute-Kernel Approximation for Radiative Transfer in a Nongrey Gas near Equilibrium, with Application to Radiative Acoustics,” International Journal of Heat and Mass Transfer, Vol. 12, pp. 445-458.
12. Heaslet, M. A., and Warming, R. F., 1965, “Radiative Transport and Wall Temperature Slip in an Absorbing Planar Medium,” International Journal of Heat and Mass Transfer, Vol. 8, pp. 979-994.
13. Heping, T., and Lallemand, M., 1989, “Transient Radiative-Conductive Heal Transfer in Flat Glasses Submitted to Temperature, Flux and Mixed Boundary Conditions,” International Journal of Heat and Mass Transfer, Vol. 32, pp. 795- 781.
14. Heping, T., Maestre, B., and Lallemand, M., 1991, “Transient and Steady-State Combined Heat Transfer in Semi-transparent Materials Subjected to a Pulse or a Step Irradiation,” ASME Journal of Heat Transfer, Vol. 113, pp. 166-173.
15. Howell, J. R., 1988, “Thermal Radiation in Participating Media: The Past, the Present and Some Possible Futures,” ASME Journal of Heat Transfer, Vol. 110, pp. 1220-1229.
16. Howell, J. R., and Perlmutter, M., 1964, “Monte Carlo Solution of Thermal Transfer Through Radiant Media Between Gray Walls,” ASME Journal of Heat Transfer, Vol. 86C, pp. 116-122.
17. Koenigsdorff, R., Miller, F., and Ziegler, R., 1991, “Calculation of Scattering Fractions for Use in Radiative Flux Models,” International Journal of Heat and Mass Transfer, Vol. 34, No. 10, pp, 2673-2676.
18. Jeanmaire, A., Martin, B., Billerey, D., and Degiovanni, A., 1992, “A New Method for the Measurement of Thermal Conductivity of Semi-transparent Insulating Foams,” Conference on Heat Transfer, July, Milano.
19. Lick, W., 1965, “Transient Energy Transfer by Radiation and Conduction,” International Journal of Heat and Mass Transfer, Vol. 8, pp. 119-127.
20. Maillet, D., Degiovanni, A., Batsale, J. C., Moyne, C., and André, S., 1998, Thermal Quadrupoles: An Efficient Method for Solving the Heat Equation through Integral Transforms, John Wiley and Sons, New York, to be published.
21. Mengüç, M. P., and Viskanta, R., 1982, “Comparison of Radiative Transfer ß Approximations for Highly Forward Scattering Planar Medium,” ASME paper 82-HT-17.
22. Özisik, M. N., 1973, Radiative Transfer and Interactions with Conduction and Convection, Wiley Interscience, New York.
23. vductivity,” J. Appl. Phys., Vol. 32, pp. 1679-1684.
24. Siegel, R., and Howell, J. R., 1992, Thermal Radiation Heat Transfer, 3rd Ed., Hemisphere, Bristol, PA.
25. Stehfest, H., 1970, “Remarks on Algorithm 368-Numerical Inversion of Laplace Transforms,” Comm. A.C.M, Vol. 13, pp. 47-49.
26. Tong, T. W., and Tien, C. L., 1980, “Resistance Network Representation of Radiative Heat Transfer with Particulate Scattering,” Journal of Quantitative L Spectroscopy & Radiative Transfer, Vol. 24, pp. 491-503.
27. Tong, T. W„ and Tien, C. L., 1983, “Radiative Heat Transfer in Fibrous Insulations-Part I: Analytical Study,” ASME Journal of Heat Transfer, Vol. 105, pp. 76-75.
28. Tong, T. W., Yang, Q. S., and Tien, C. L., 1983, “Radiative Heat Transfer in Fibrous Insulations-Part II: Experimental Study,” ASME Journal of Heat Transfer, Vol. 105, pp. 76-81.
29. Viskanta, R., and Anderson, E. E., 1975, “Heat Transfer in Semi-transparent Solids,” Advances in Heat Transfer, Vol. 11, pp. 315-553.
30. Viskanta, R., 1982, “Radiation Heat Transfer: Interaction with Conduction and Convection and Approximate Methods in Radiation,” Proceedings of the Seventh Int. Heat Transfer Conference, München, HT-Vol. 1, pp. 103-121.